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Finding the Third Proportional to 44,400 and 65,925

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Solution

The third proportional to 44,400 and 65,925 is: 97,885.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,400 : 65,925 = 65,925 : x
  2. Step 2: Convert to fraction form
    44,400/65,925 = 65,925/x
  3. Step 3: Cross multiply
    44,400x = 65,925 × 65,925
  4. Step 4: Simplify right side
    44,400x = 4,346,105,625
  5. Step 5: Solve for x
    x = 4,346,105,625/44,400
  6. Step 6: Final answer
    x = 97,885.26

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.